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1. (WO2017133672) ORDER O (1) ALGORITHM FOR FIRST-PRINCIPLES CALCULATION OF TRANSIENT CURRENT THROUGH OPEN QUANTUM SYSTEMS
Latest bibliographic data on file with the International Bureau

Pub. No.: WO/2017/133672 International Application No.: PCT/CN2017/072848
Publication Date: 10.08.2017 International Filing Date: 03.02.2017
IPC:
G06F 17/50 (2006.01)
G PHYSICS
06
COMPUTING; CALCULATING; COUNTING
F
ELECTRIC DIGITAL DATA PROCESSING
17
Digital computing or data processing equipment or methods, specially adapted for specific functions
50
Computer-aided design
Applicants:
THE UNIVERSITY OF HONG KONG [CN/CN]; Pokfulam Road Hong Kong, CN
Inventors:
WANG, Jian; CN
CHEUNG, King Tai; CN
FU, Bin; CN
YU, Zhizhou; CN
Agent:
CHINA PATENT AGENT (H.K.) LTD.; 22/F., Great Eagle Center, 23 Harbour Road, Wanchai Hong Kong, CN
Priority Data:
62/290,71703.02.2016US
Title (EN) ORDER O (1) ALGORITHM FOR FIRST-PRINCIPLES CALCULATION OF TRANSIENT CURRENT THROUGH OPEN QUANTUM SYSTEMS
(FR) ALGORITHME D'ORDRE O(1) POUR CALCUL DE PRINCIPES PREMIERS DE COURANT TRANSITOIRE À TRAVERS DES SYSTÈMES QUANTIQUES OUVERTS
Abstract:
(EN) A fast algorithm is used to study the transient behavior due to the step-like pulse. This algorithm consists of two parts: The algorithm I reduces the computational complexity to T0N3 for large systems as long as T0N3 whenever T2 beyond which it becomes T log2 N for even longer time. Hence it is of order O(1) if T2. Benchmark calculation has been done on graphene nanoribbons with N=104 and T=108. This new algorithm allows many large scale transient problems to be solved, including magnetic tunneling junctions and ferroelectric tunneling junctions that could not be achieved before.
(FR) L'invention concerne un algorithme rapide qui sert à étudier le comportement transitoire causé par une impulsion en escalier. Cet algorithme est constitué de deux parties : l'algorithme (I) réduit la complexité de calcul à T0N3 pour de grands systèmes tant que T0N3 dès lors que T2 au-delà de quoi il devient T log2 N pour une durée encore plus longue. Ainsi, il est d'ordre O(1) si T2. Un calcul de banc d'essai a été effectué sur des nanorubans de graphène avec N=104 et T=108. Ce nouvel algorithme permet la résolution de nombreux problèmes transitoires à grande échelle, dont des jonctions à effet tunnel magnétiques et des jonctions à effet tunnel ferroélectriques qui ne pouvaient être réalisées auparavant.
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Designated States: AE, AG, AL, AM, AO, AT, AU, AZ, BA, BB, BG, BH, BN, BR, BW, BY, BZ, CA, CH, CL, CN, CO, CR, CU, CZ, DE, DJ, DK, DM, DO, DZ, EC, EE, EG, ES, FI, GB, GD, GE, GH, GM, GT, HN, HR, HU, ID, IL, IN, IR, IS, JP, KE, KG, KH, KN, KP, KR, KW, KZ, LA, LC, LK, LR, LS, LU, LY, MA, MD, ME, MG, MK, MN, MW, MX, MY, MZ, NA, NG, NI, NO, NZ, OM, PA, PE, PG, PH, PL, PT, QA, RO, RS, RU, RW, SA, SC, SD, SE, SG, SK, SL, SM, ST, SV, SY, TH, TJ, TM, TN, TR, TT, TZ, UA, UG, US, UZ, VC, VN, ZA, ZM, ZW
African Regional Intellectual Property Organization (ARIPO) (BW, GH, GM, KE, LR, LS, MW, MZ, NA, RW, SD, SL, ST, SZ, TZ, UG, ZM, ZW)
Eurasian Patent Organization (AM, AZ, BY, KG, KZ, RU, TJ, TM)
European Patent Office (AL, AT, BE, BG, CH, CY, CZ, DE, DK, EE, ES, FI, FR, GB, GR, HR, HU, IE, IS, IT, LT, LU, LV, MC, MK, MT, NL, NO, PL, PT, RO, RS, SE, SI, SK, SM, TR)
African Intellectual Property Organization (BF, BJ, CF, CG, CI, CM, GA, GN, GQ, GW, KM, ML, MR, NE, SN, TD, TG)
Publication Language: English (EN)
Filing Language: English (EN)
Also published as:
CN108885645